Charge Resistance in a Majorana RC circuit

Abstract

We investigate the dynamical charge response in a "Majorana Coulomb box" realized by two Majorana bound states hosted at the ends of a mesoscopic topological superconductor. One side of the wire is coupled to a normal lead and low frequency gate voltage is applied to the system. There is no dc-current; the system can be considered as an RC quantum circuit. We calculate the effective capacitance and charge relaxation resistance. The latter is in agreement with the Korringa-Shiba formula where, however, the charge relaxation resistance is equal to h/2e^2. This value corresponds to the strong Coulomb blockade limit described by a resonant model formulated by Fu [PRL 104, 056402 (2010)]. We also performed direct calculations using the latter model and defined its parameters by direct comparison with our perturbation theory results.

7 pages, 2 figures, published version

References in corpus (10)

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Cited by in corpus (10)

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• Driven dissipative dynamics and topology of quantum impurity systems
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
• Strongly correlated dynamics in multichannel quantum RC circuits
• Probing dynamics of Majorana fermions in quantum impurity systems
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Non-equilibrium quantum transport through a dissipative resonant level
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics